Finite Group Databasebeta

← #6379525

Subgroups — #6379525

Order 512.

3003 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3518C211yesmaximal, characteristic
2#60214C212yesmaximal, complemented
3#22537C212yesmaximal, complemented
4Q8×#101C212yesmaximal, complemented
5#22484C214yesmaximal, complemented
6#22483C212yesmaximal, complemented
7#22410C214yesmaximal, complemented
8D4×#101C212yesmaximal, complemented
9#21427C214yesmaximal, complemented
10#21425C212yesmaximal, complemented
11#20730C212yesmaximal, complemented
12#20728C211yesmaximal, characteristic, complemented
13#20399C212yesmaximal, complemented
14C4×#413C211yesmaximal, characteristic, complemented
15#3518—24no—
16#3518—24no—
17#3518—24no—
18#3518—24no—
19C2×Q82C2211yescharacteristic
20C2×#556C414yes—
21C2×#556C412yes—
22C2×#556C2211yescharacteristic
23C2×#556C2212yes—
24C2×#555C412yes—
25C2×#555C2211yescharacteristic
26C2×D4×Q8C2211yescharacteristic
27C2×#548C2212yes—
28C2×#542C414yes—
29C2×#542C2212yes—
30C2×#533C412yes—
31C2×#533C2211yescharacteristic
32C2×#529C412yes—
33C2×#529C2211yescharacteristic
34C2×#519C2212yes—
35C2×C4×#41C2211yescharacteristic
36#2969—24no—
37#2968—24no—
38#2967—24no—
39#2966—24no—
40Q8×M16C2214yes—
41D4×M16C2214yes—
42D4×M16C2218yes—
43#2921C2214yes—
44#2920C2212yes—
45C2×#413C2212yes—
46C22×#101C2214yes—
47#2873C2214yes—
48C2×C4×M16C2212yes—
49#1997C2214yes—
50#1997C2218yes—
51#1967C2218yes—
52#1966C2214yes—
53#1901C2218yes—
54#1901C2218yes—
55#1900C2218yes—
56#1822C2214yes—
57#1822C2212yes—
58#1801C2214yes—
59#1801C2212yes—
60#1801C2214yes—
61#1800C2212yes—
62#1785C2212yes—
63#1784C2214yes—
64C4×#101C2214yes—
65C4×#101C2212yes—
66C4×#101C2214yes—
67C4×#101C2211yescharacteristic
68C4×#101C2211yescharacteristic
69C4×#101C2214yes—
70C4×#101C2212yes—
71C4×#101C2214yes—
72C4×#100C2212yes—
73C4×#100C2212yes—
74C4×#100C2212yes—
75#1742C2212yes—
76#1742C2214yes—
77C22×#41C2311yescharacteristic
78C23×Q8C2312yes—
79C22×M16C2314yes—
80C22×M16C2318yes—
81Q82—24no—
82Q82—24no—
83#556—216no—
84#556—216no—
85#556—28no—
86#556—28no—
87#556—24no—
88#556—24no—
89#556—28no—
90#556—28no—
91#555—28no—
92#555—28no—
93#555—24no—
94#555—24no—
95D4×Q8—24no—
96D4×Q8—24no—
97#548—28no—
98#548—28no—
99#542—216no—
100#542—216no—
101#542—28no—
102#542—28no—
103#533—24no—
104#533—24no—
105#533—24no—
106#533—24no—
107#533—22no—
108#533—22no—
109#533—22no—
110#533—22no—
111C2×C4⋊Q8C2×C412yes—
112C2×C4⋊Q8C2×C412yes—
113C2×C4⋊Q8C2×C414yes—
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2312yes—
117#529—24no—
118#529—24no—
119#529—24no—
120#529—24no—
121#529D414yes—
122#529D414yes—
123#529D414yes—
124#529D414yes—
125C2×#126C2×C414yes—
126C2×#126C2×C414yes—
127C2×#126C2×C414yes—
128C2×#126C2×C414yes—
129C2×#126C2×C412yes—
130C2×#125C2×C412yes—
131C2×#125C2×C411yescharacteristic
132C2×#124C2×C414yes—
133C2×#124C2×C414yes—
134C2×#124C2×C414yes—
135C2×#124C2×C414yes—
136C2×#124C2×C411yescharacteristic
137C2×#124C2312yes—
138C2×#123C2×C414yes—
139C2×#123C2×C412yes—
140C2×C22⋊Q8C2×C412yes—
141C2×C22⋊Q8C2×C414yes—
142C2×C22⋊Q8C2×C414yes—
143C2×C22⋊Q8C2×C412yes—
144C2×C22⋊Q8C2×C414yes—
145C2×C22⋊Q8C2×C411yescharacteristic
146C2×C22⋊Q8C2312yes—
147C2×C22⋊Q8C2312yes—
148C2×#121C2×C412yes—
149C2×#121C2×C414yes—
150C2×#121C2×C411yescharacteristic
151C2×#121C2312yes—
152#519—28no—
153#519—28no—
154C4×#41—22no—
155C4×#41—22no—
156C4×#41—22no—
157C4×#41—22no—
158C2×C4×Q8C2×C414yes—
159C2×C4×Q8C2×C414yes—
160C2×C4×Q8C2×C412yes—
161C2×C4×Q8C2×C414yes—
162C2×C4×Q8C2×C412yes—
163C2×C4×Q8C2311yescharacteristic
164C2×C4×Q8C2312yes—
165C2×C4×Q8C2312yes—
166C2×C4×Q8C2311yescharacteristic
167C2×C4×Q8C2312yes—
168C2×C4×Q8C2311yescharacteristic
169C2×C4×D4C2×C412yes—
170C2×C4×D4C2×C412yes—
171C2×C4×D4C2×C414yes—
172C2×C4×D4C2×C412yes—
173C2×C4×D4C2312yes—
174C2×C4×D4C2311yescharacteristic
175C2×C4×D4C2311yescharacteristic
176C2×C4×D4C2311yescharacteristic
177C2×#117C2×C412yes—
178C2×#117C2×C414yes—
179C2×#117C2×C414yes—
180C2×#117C2×C412yes—
181C2×#117C2×C412yes—
182C2×#117C2×C412yes—
183C2×#117C2311yescharacteristic
184C2×#117C2312yes—
185C2×#117C2312yes—
186C22×C42C2×C412yes—
187C22×C42C2311yescharacteristic
188#446—24no—
189#446—28no—
190C8×Q8—24no—
191#436—24no—
192#436—28no—
193#435—28no—
194#435—28no—
195#435—28no—
196C8×D4—28no—
197C8×D4—24no—
198#433—28no—
199#433—28no—
200#432—22no—
201#432—22no—
202#431—22no—
203#431—22no—
204#423C2314yes—
205#423C2318yes—
206#413—28no—
207C2×#101—216no—
208C2×#101C2314yes—
209C2×#101C2312yes—
210C2×#101C2318yes—
211C2×#101C2318yes—
212C2×#101C2312yes—
213C2×#100C2314yes—
214C2×#100C2314yes—
215#407C2314yes—
216#407C2318yes—
217#405—28no—
218#405—28no—
219C4×M16—22no—
220C4×M16—22no—
221C4×M16C2312yes—
222C4×M16C2312yes—
223C4×M16C2314yes—
224C4×M16C2314yes—
225C4×M16C2318yes—
226C2×#97—22no—
227C2×C4×C8—22no—
228#343C2314yes—
229#343C2312yes—
230#343C2318yes—
231#343C2314yes—
232#343C2318yes—
233#343C2314yes—
234#343C2312yes—
235C2×#41—24no—
236C2×#41—22no—
237C2×#41—22no—
238C2×#41—42no—
239C22×Q8—28no—
240C22×Q8—28no—
241C22×Q8—44no—
242C22×Q8C22×C414yes—
243C22×Q8C22×C412yes—
244C22×Q8C22×C414yes—
245C22×Q8C22×C411yescharacteristic
246C22×Q8C2412yes—
247C22×Q8C2411yescharacteristic
248C22×D4C22×C412yes—
249C22×D4C22×C414yes—
250C22×D4C22×C411yescharacteristic
251C22×D4C22×C412yes—
252C22×D4C2411yescharacteristic
253C23×C4C22×C414yes—
254C23×C4C22×C412yes—
255C23×C4C22×C412yes—
256C23×C4C22×C412yes—
257C23×C4C22×C411yescharacteristic
258C23×C4C22×C411yescharacteristic
259C23×C4C2412yes—
260C23×C4C2411yescharacteristic
261C2×M16—24no—
262C2×M16—28no—
263C2×M16—216no—
264C2×M16—28no—
265C2×M16—48no—
266C2×M16—44no—
267C2×M16C2414yes—
268C2×M16C2418yes—
269C2×M16C2414yes—
270C22×C8—24no—
271C22×C8—28no—
272C4⋊Q8—24no—
273C4⋊Q8—24no—
274C4⋊Q8—24no—
275C4⋊Q8—24no—
276C4⋊Q8—216no—
277C4⋊Q8—22no—
278C4⋊Q8—22no—
279C4⋊Q8—22no—
280C4⋊Q8—22no—
281C4⋊Q8—28no—
282#126—216no—
283#126—216no—
284#126—28no—
285#126—28no—
286#126—216no—
287#126C22⋊C418yes—
288#126C22⋊C418yes—
289#125—22no—
290#125—22no—
291#125—22no—
292#125—22no—
293#125C22⋊C412yes—
294#125C22⋊C412yes—
295#125C22⋊C412yes—
296#125C22⋊C412yes—
297#124—216no—
298#124—216no—
299#124—216no—
300#124—216no—
301#124—28no—
302#124C22⋊C412yes—
303#124C22⋊C412yes—
304#124C22⋊C412yes—
305#124C22⋊C412yes—
306#123—28no—
307#123—28no—
308#123C22⋊C418yes—
309#123C22⋊C418yes—
310C22⋊Q8—24no—
311C22⋊Q8—24no—
312C22⋊Q8—24no—
313C22⋊Q8—24no—
314C22⋊Q8—24no—
315C22⋊Q8—24no—
316C22⋊Q8—28no—
317C22⋊Q8—28no—
318C22⋊Q8—28no—
319C22⋊Q8—28no—
320C22⋊Q8—28no—
321C22⋊Q8—216no—
322C22⋊Q8C22⋊C414yes—
323C22⋊Q8C22⋊C414yes—
324#121—24no—
325#121—24no—
326#121—216no—
327#121—28no—
328#121C22⋊C414yes—
329#121C22⋊C414yes—
330C4×Q8—24no—
331C4×Q8—24no—
332C4×Q8—28no—
333C4×Q8—28no—
334C4×Q8—216no—
335C4×Q8—28no—
336C4×Q8—28no—
337C4×Q8—24no—
338C4×Q8—24no—
339C4×Q8—22no—
340C4×Q8—22no—
341C4×Q8—22no—
342C4×Q8—22no—
343C4×Q8—24no—
344C4×Q8—24no—
345C4×Q8—28no—
346C4×Q8—28no—
347C4×Q8C2×D414yes—
348C4×Q8C2×D414yes—
349C4×D4—24no—
350C4×D4—24no—
351C4×D4—24no—
352C4×D4—24no—
353C4×D4—24no—
354C4×D4—24no—
355C4×D4—28no—
356C4×D4—28no—
357C4×D4—22no—
358C4×D4—22no—
359C4×D4—22no—
360C4×D4—22no—
361C4×D4C2×D418yes—
362C4×D4C2×D418yes—
363C4×D4C2×D414yes—
364C4×D4C2×D414yes—
365#117—24no—
366#117—24no—
367#117—22no—
368#117—22no—
369#117—28no—
370#117—24no—
371#117—24no—
372#117—24no—
373#117—24no—
374#117—28no—
375#117—28no—
376#117—216no—
377#117—24no—
378#117—24no—
379#117C2×D418yes—
380#117C2×D418yes—
381C2×C4⋊C4C22×C412yes—
382C2×C4⋊C4C22×C412yes—
383C2×C4⋊C4C22×C412yes—
384C2×C4⋊C4C22×C412yes—
385C2×C4⋊C4C22×C414yes—
386C2×C4⋊C4C22×C414yes—
387C2×C4⋊C4C22×C414yes—
388C2×C4⋊C4C22×C414yes—
389C2×C4⋊C4C22×C412yes—
390C2×C4⋊C4C22×C414yes—
391C2×C4⋊C4C22×C414yes—
392C2×C4⋊C4C22×C411yescharacteristic
393C2×C4⋊C4C22×C411yescharacteristic
394C2×C4⋊C4C22×C412yes—
395C2×C4⋊C4C22×C412yes—
396C2×C4⋊C4C22×C412yes—
397C2×C4⋊C4C22×C412yes—
398C2×C4⋊C4C2411yescharacteristic
399C2×C4⋊C4C2411yescharacteristic
400C2×C4⋊C4C2412yes—
401C2×C22⋊C4C22×C414yes—
402C2×C22⋊C4C22×C412yes—
403C2×C22⋊C4C22×C412yes—
404C2×C22⋊C4C22×C414yes—
405C2×C22⋊C4C22×C414yes—
406C2×C22⋊C4C22×C414yes—
407C2×C22⋊C4C22×C412yes—
408C2×C22⋊C4C22×C414yes—
409C2×C22⋊C4C22×C414yes—
410C2×C22⋊C4C22×C412yes—
411C2×C22⋊C4C22×C412yes—
412C2×C22⋊C4C22×C412yes—
413C2×C22⋊C4C22×C412yes—
414C2×C22⋊C4C22×C412yes—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—22no—
418C2×C42—22no—
419C2×C42C22×C412yes—
420C2×C42C22×C414yes—
421C2×C42C22×C414yes—
422C2×C42C22×C414yes—
423C2×C42C22×C412yes—
424C2×C42C22×C414yes—
425C2×C42C22×C412yes—
426C2×C42C22×C411yescharacteristic
427C2×C42C22×C411yescharacteristic
428C2×C42C2×D412yes—
429C2×C42C2×D412yes—
430C2×C42C2×D412yes—
431C2×C42C2×D412yes—
432C2×C42C2411yescharacteristic
433C2×C42C2412yes—
434C2×C42C2411yescharacteristic
435C4⋊C8—24no—
436C4⋊C8—24no—
437C4⋊C8—28no—
438C4⋊C8—28no—
439#101—28no—
440#101—24no—
441#101—216no—
442#101—48no—
443#101#4118yes—
444#100—28no—
445#100—44no—
446C22⋊C8—24no—
447C22⋊C8—24no—
448C22⋊C8—28no—
449C22⋊C8—28no—
450#97—22no—
451#97—22no—
452#97—24no—
453#97—24no—
454#97—28no—
455C4×C8—22no—
456C4×C8—22no—
457C4×C8—24no—
458C4×C8—24no—
459C4×C8—28no—
460C24C23×C412yes—
461C24C23×C412yes—
462C24C23×C411yescharacteristic
463#41—48no—
464#41—48no—
465C2×Q8—28no—
466C2×Q8—24no—
467C2×Q8—28no—
468C2×Q8—28no—
469C2×Q8—22no—
470C2×Q8—24no—
471C2×Q8—24no—
472C2×Q8—22no—
473C2×Q8—24no—
474C2×Q8—44no—
475C2×Q8—42no—
476C2×Q8—416no—
477C2×Q8—416no—
478C2×Q8—82no—
479C2×Q8—84no—
480C2×Q8C2×C22⋊C412yes—
481C2×Q8C2×C22⋊C412yes—
482C2×Q8C2×#4114yes—
483C2×D4—24no—
484C2×D4—28no—
485C2×D4—24no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—82no—
492C2×D4—84no—
493C2×D4C2×C22⋊C412yes—
494C2×D4C2×C22⋊C412yes—
495C2×D4C2×C22⋊C418yes—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—22no—
500C22×C4—28no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—28no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—42no—
510C22×C4—44no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—81no—
514C22×C4—82no—
515C22×C4C2×C22⋊C412yes—
516C22×C4C2×C22⋊C412yes—
517C22×C4C2×C22⋊C412yes—
518C22×C4C2×C22⋊C412yes—
519C22×C4C23×C414yes—
520C22×C4C23×C411yescharacteristic
521C22×C4C23×C411yescharacteristic
522C22×C4C23×C412yes—
523C22×C4C23×C412yes—
524C22×C4C23×C412yes—
525C22×C4C23×C414yes—
526C22×C4C23×C412yes—
527C22×C4C23×C411yescharacteristic
528C22×C4C23×C411yescharacteristic
529C22×C4C23×C412yes—
530C22×C4C23×C412yes—
531C22×C4C23×C411yescharacteristic
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D418yes—
535C22×C4C2511yescharacteristic
536M16—24no—
537M16—24no—
538M16—28no—
539M16—28no—
540M16—24no—
541M16—416no—
542M16—48no—
543M16C2×#4118yes—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—28no—
547C2×C8—416no—
548C2×C8—48no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—28no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—28no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—28no—
562C4⋊C4—24no—
563C4⋊C4—28no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—24no—
567C4⋊C4C2×C22⋊C412yes—
568C4⋊C4C2×C22⋊C412yes—
569C4⋊C4C2×C22⋊C412yes—
570C4⋊C4C2×C22⋊C412yes—
571C4⋊C4C2×C22⋊C414yes—
572C4⋊C4C2×C22⋊C414yes—
573C4⋊C4C2×C22⋊C418yes—
574C4⋊C4C2×C22⋊C414yes—
575C4⋊C4C2×C22⋊C414yes—
576C4⋊C4C2×C22⋊C418yes—
577C22⋊C4—28no—
578C22⋊C4—24no—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—28no—
584C22⋊C4—28no—
585C22⋊C4—28no—
586C22⋊C4C2×C22⋊C418yes—
587C22⋊C4C2×C22⋊C414yes—
588C22⋊C4C2×C22⋊C414yes—
589C22⋊C4C2×C22⋊C414yes—
590C22⋊C4C2×C22⋊C414yes—
591C22⋊C4C2×C22⋊C418yes—
592C22⋊C4C2×C22⋊C418yes—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—28no—
600C42—28no—
601C42—28no—
602C42—28no—
603C42C2×C22⋊C411yescharacteristic
604C42C2×C22⋊C411yescharacteristic
605C42C2×C22⋊C411yescharacteristic
606C42C2×C22⋊C411yescharacteristic
607C42C2×C22⋊C412yes—
608C42C2×C22⋊C412yes—
609C42C22×D412yes—
610C42C22×D412yes—
611C42C22×D412yes—
612C42C22×D418yes—
613C42C22×D412yes—
614C23—22no—
615C23—21no—
616C23—22no—
617C23—21no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—41no—
622C23—41no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23C22×C22⋊C412yes—
628C23C22×C22⋊C414yes—
629C23C24×C411yescharacteristic
630Q8—24no—
631Q8—28no—
632Q8—42no—
633Q8—416no—
634Q8—48no—
635Q8—84no—
636Q8—88no—
637D4—24no—
638D4—42no—
639D4—48no—
640D4—48no—
641D4—44no—
642D4—88no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—28no—
652C2×C4—24no—
653C2×C4—28no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—416no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—82no—
678C2×C4—82no—
679C2×C4C22×C22⋊C412yes—
680C2×C4C22×C22⋊C411yescharacteristic
681C2×C4C22×C22⋊C411yescharacteristic
682C2×C4C22×C22⋊C411yescharacteristic
683C2×C4C22×C22⋊C411yescharacteristic
684C2×C4C22×C22⋊C411yescharacteristic
685C2×C4C22×C22⋊C414yes—
686C2×C4C22×C22⋊C414yes—
687C2×C4C22×C22⋊C414yes—
688C2×C4C22×C22⋊C412yes—
689C2×C4C22×C22⋊C411yescharacteristic
690C2×C4C4×#4114yes—
691C2×C4C23×D412yes—
692C2×C4C22×#4112yes—
693C2×C4#58512yes—
694C8—28no—
695C8—44no—
696C8—48no—
697C22—21no—
698C22—21no—
699C22—24no—
700C22—22no—
701C22—22no—
702C22—24no—
703C22—22no—
704C22—24no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—82no—
709C22—81no—
710C22—82no—
711C22—81no—
712C22—82no—
713C22—82no—
714C22C23×C22⋊C411yescharacteristic
715C22C2×C4×#4111yescharacteristic
716C22#342811yescharacteristic
717C4—21no—
718C4—21no—
719C4—24no—
720C4—24no—
721C4—21no—
722C4—22no—
723C4—24no—
724C4—21no—
725C4—21no—
726C4—22no—
727C4—24no—
728C4—44no—
729C4—42no—
730C4—42no—
731C4—44no—
732C4#288912yes—
733C4D4×#4114yes—
734C2—21no—
735C2—21no—
736C2—44no—
737C2—42no—
738C2—82no—
739C2C22⋊C4×#4111yescharacteristic
740C2C2×#288911yescharacteristic
741C2#6007611yescharacteristic
subgroupG/H
center, socleC22C23×C22⋊C4
commutatorC23C24×C4
Frattini, cosocleC22×C4C25
prime radicalC2×#3518C2
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#529 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #60214C2semidirect
3. #22537C2semidirect
4. Q8×#101C2semidirect
5. #22484C2semidirect
6. #22483C2semidirect
7. #22410C2semidirect
8. D4×#101C2semidirect
9. #21427C2semidirect
10. #21425C2semidirect
11. #20730C2semidirect
12. #20728C2semidirect
13. #20399C2semidirect
14. C4×#413C2semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#35182
#602142
#225372
Q8×#1012
#224842
#224832
#224102
D4×#1012
#214272
#214252
#207302
#207282
#203992
C4×#4132